The invention relates to a density-adjustable multilayer periodic structure. The periodic structure comprises a central thin film or a central plate base body layer (1), embedded block bodies (2) andouter side thin films or outer side plate base body
layers (3), wherein the central thin film or the central plate base body layer (1) is positioned in the middle layer, the outer side thin films or the outer side plate base body
layers (3) are arranged on the two sides of the central thin film or the central plate base body layer (1), the embedded block bodies (2) which are overally arranged in aperiodical mode are uniformly arranged in the outer side thin films or the outer side plate base body
layers (3), so that the multilayer periodic structure is formed through stacking based on the above mode. The multilayer periodic structure is fixed on a frame with a large rigidity to be subjected to pre-stretching, the density of the periodic structure can be adjusted, so that the physical parameters of the periodic structure are changed, and the
active control over periodic structure band gaps is realized; and the structure can be applied to the field of vibration reduction and
vibration isolation, compared with a traditional active and passive
vibration isolation structure, the periodic structure has the advantages of light weight, wide
vibration isolation frequency, high reliabilityand the like, and meanwhile, the structure can be used for actively controlling the
band gap range.